137727555857196032

Names of 137727555857196032

• Cardinal: 137727555857196032 can be written as One hundred thirty-seven quadrillion, seven hundred twenty-seven trillion, five hundred fifty-five billion, eight hundred fifty-seven million, one hundred ninety-six thousand and thirty-two.

Scientific notation

• Scientific notation: 1.37727555857196032 × 10¹⁷

Factors of 137727555857196032

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 644

Divisors of 137727555857196032

• Number of divisors d(n): 792
• Complete list of divisors:
  1 2 4 7 8 13 14 16 23 26 28 32 46 52 56 64 91 92 104 112 128 161 169 182 184 208 224 256 299 322 338 364 368 416 448 512 529 598 599 644 676 728 736 832 896 1024 1058 1183 1196 1198 1288 1352 1456 1472 1664 1792 2093 2116 2366 2392 2396 2576 2704 2912 2944 3328 3584 3703 3887 4186 4193 4232 4732 4784 4792 5152 5408 5824 5888 6656 6877 7168 7406 7774 7787 8372 8386 8464 9464 9568 9584 10304 10816 11648 11776 13312 13754 13777 14812 15548 15574 16744 16772 16928 18928 19136 19168 20608 21632 23296 23552 27209 27508 27554 29624 31096 31148 33488 33544 33856 37856 38272 38336 41216 43264 46592 48139 54418 54509 55016 55108 59248 62192 62296 66976 67088 67712 75712 76544 76672 82432 86528 89401 93184 96278 96439 101231 108836 109018 110032 110216 118496 124384 124592 133952 134176 135424 151424 153088 153344 164864 173056 178802 179101 192556 192878 202462 217672 218036 220064 220432 236992 248768 249184 267904 268352 270848 302848 306176 306688 316871 357604 358202 358801 385112 385756 404924 435344 436072 440128 440864 473984 497536 498368 535808 536704 541696 605696 613376 625807 633742 708617 715208 716404 717602 770224 771512 809848 870688 872144 880256 881728 947968 995072 996736 1071616 1073408 1211392 1251614 1253707 1267484 1417234 1430416 1432808 1435204 1540448 1543024 1619696 1741376 1744288 1760512 1763456 1895936 1990144 1993472 2143232 2146816 2218097 2328313 2503228 2507414 2511607 2534968 2834468 2860832 2865616 2870408 3080896 3086048 3239392 3482752 3488576 3521024 3526912 3791872 3980288 3986944 4119323 4293632 4436194 4656626 4664413 5006456 5014828 5023214 5069936 5668936 5721664 5731232 5740816 6161792 6172096 6478784 6965504 6977152 7042048 7053824 7973888 8238646 8252423 8872388 9313252 9328826 10012912 10029656 10046428 10139872 11337872 11443328 11462464 11481632 12323584 12344192 12957568 13931008 13954304 14107648 16298191 16477292 16504846 17744776 18626504 18657652 20025824 20059312 20092856 20279744 22675744 22886656 22924928 22963264 24647168 24688384 25915136 27862016 27908608 28835261 32596382 32650891 32954584 33009692 35489552 37253008 37315304 40051648 40118624 40185712 40559488 45351488 45773312 45849856 45926528 49294336 49376768 51830272 53551199 55817216 57670522 57766961 60637369 65192764 65301782 65909168 66019384 70979104 74506016 74630608 80103296 80237248 80371424 81118976 90702976 91546624 91699712 91853056 98753536 103660544 107102398 107281499 115341044 115533922 121274738 130385528 130603564 131818336 132038768 141958208 149012032 149261216 160206592 160474496 160742848 162237952 181405952 183399424 183706112 189805729 214204796 214562998 214921799 230682088 231067844 242549476 260771056 261207128 263636672 264077536 283916416 298024064 298522432 320413184 320948992 321485696 324475904 362811904 367412224 374858393 379611458 424461583 428409592 429125996 429843598 461364176 462135688 485098952 521542112 522414256 527273344 528155072 567832832 596048128 597044864 640826368 641897984 642971392 725623808 749716786 750970493 759222916 848923166 856819184 858251992 859687196 922728352 924271376 970197904 1043084224 1044828512 1054546688 1056310144 1135665664 1192096256 1194089728 1283795968 1285942784 1328640103 1394659487 1499433572 1501940986 1504452593 1518445832 1697846332 1713638368 1716503984 1719374392 1845456704 1848542752 1940395808 2086168448 2089657024 2109093376 2112620288 2271331328 2384192512 2388179456 2467474477 2571885568 2657280206 2789318974 2793983387 2998867144 3003881972 3008905186 3036891664 3395692664 3427276736 3433007968 3438748784 3690913408 3697085504 3880791616 4172336896 4179314048 4218186752 4225240576 4776358912 4934948954 4943201377 5314560412 5578637948 5587966774 5997734288 6007763944 6017810372 6073783328 6791385328 6854553472 6866015936 6877497568 7381826816 7394171008 7761583232 8344673792 8358628096 8450481152 9762616409 9869897908 9886402754 10629120824 11157275896 11175933548 11995468576 12015527888 12035620744 12147566656 13582770656 13709106944 13732031872 13754995136 14763653632 14788342016 15523166464 16689347584 16717256192 17272321339 19525232818 19557883709 19739795816 19772805508 21258241648 22314551792 22351867096 23990937152 24031055776 24071241488 24295133312 27165541312 27418213888 27464063744 27509990272 29527307264 29576684032 31046332928 32077168201 33434512384 34544642678 34602409639 36321784031 39050465636 39115767418 39479591632 39545611016 42516483296 44629103584 44703734192 47981874304 48062111552 48142482976 48590266624 54331082624 54836427776 54928127488 55019980544 59153368064 62092665856 64154336402 64261617901 69089285356 69204819278 72643568062 78100931272 78231534836 78959183264 79091222032 85032966592 89258207168 89407468384 95963748608 96124223104 96284965952 97180533248 108662165248 109856254976 110039961088 113693631671 128308672804 128523235802 138178570712 138409638556 145287136124 156201862544 156463069672 157918366528 158182444064 170065933184 178516414336 178814936768 191927497216 192248446208 192569931904 194361066496 217324330496 220079922176 224540177407 227387263342 254252488217 256617345608 257046471604 276357141424 276819277112 290574272248 312403725088 312926139344 315836733056 316364888128 340131866368 357032828672 357629873536 383854994432 384496892416 385139863808 434648660992 449080354814 449831325307 454774526684 508504976434 513234691216 514092943208 552714282848 553638554224 581148544496 624807450176 625852278688 631673466112 632729776256 680263732736 714065657344 715259747072 768993784832 770279727616 795855421697 835401032713 898160709628 899662650614 909549053368 1017009952868 1026469382432 1028185886416 1105428565696 1107277108448 1162297088992 1249614900352 1251704557376 1263346932224 1265459552512 1360527465472 1428131314688 1430519494144 1478017211723 1540559455232 1591710843394 1670802065426 1796321419256 1799325301228 1819098106736 2034019905736 2052938764864 2056371772832 2210857131392 2214554216896 2324594177984 2499229800704 2503409114752 2526693864448 2530919105024 2861038988288 2956034423446 3183421686788 3341604130852 3592642838512 3598650602456 3638196213472 4068039811472 4105877529728 4112743545664 4421714262784 4429108433792 4649188355968 4998459601408 5006818229504 5061838210048 5847807228991 5912068846892 6366843373576 6683208261704 7185285677024 7197301204912 7276392426944 8136079622944 8211755059456 8225487091328 8843428525568 8858216867584 9298376711936 9996919202816 10013636459008 10346120482061 11695614457982 11824137693784 12733686747152 13366416523408 14370571354048 14394602409824 14552784853888 16272159245888 16423510118912 16450974182656 17686857051136 17716433735168 18596753423872 19214223752399 20027272918016 20692240964122 23391228915964 23648275387568 25467373494304 26732833046816 28741142708096 28789204819648 29105569707776 32544318491776 32847020237824 32901948365312 35432867470336 37193506847744 38428447504798 41384481928244 46782457831928 47296550775136 50934746988608 53465666093632 57482285416192 57578409639296 58211139415552 65088636983552 65803896730624 76856895009596 82768963856488 93564915663856 94593101550272 101869493977216 106931332187264 114964570832384 115156819278592 116422278831104 130177273967104 134499566266793 153713790019192 165537927712976 187129831327712 189186203100544 203738987954432 213862664374528 229929141664768 230313638557184 260354547934208 268999132533586 307427580038384 331075855425952 374259662655424 378372406201088 407477975908864 427725328749056 460627277114368 537998265067172 614855160076768 662151710851904 748519325310848 756744812402176 814955951817728 855450657498112 1075996530134344 1229710320153536 1324303421703808 1497038650621696 1513489624804352 2151993060268688 2459420640307072 2648606843407616 2994077301243392 4303986120537376 4918841280614144 5297213686815232 5988154602486784 8607972241074752 9837682561228288 10594427373630464 17215944482149504 19675365122456576 34431888964299008 68863777928598016 137727555857196032
• Sum of all divisors σ(n): 356771501592508800
• Sum of proper divisors (its aliquot sum) s(n): 219043945735312768
• 137727555857196032 is an abundant number, because the sum of its proper divisors (219043945735312768) is greater than itself. Its abundance is 81316389878116736

Bases of 137727555857196032

• Binary: 111101001010011100111101101111010101001101010010000000000₂
• Hexadecimal: 0x1E94E7B7AA6A400
• Base-36: 11O4CDOX9ERK

Squares and roots of 137727555857196032

• 137727555857196032 squared (137727555857196032²) is 18968879642397053020908557276545024
• 137727555857196032 cubed (137727555857196032³) is 2612537430496668812723432290292433335235441242144768
• The square root of 137727555857196032 is 371116633.7651763515
• The cube root of 137727555857196032 is 516424.6297549315

Scales and comparisons

• 137,727,555,857,196,032 seconds is equal to 4,379,310,256 years, 49 weeks, 5 days, 8 hours, 40 minutes, 32 seconds.
• To count from 1 to 137,727,555,857,196,032 would take you about thirteen billion, one hundred thirty-seven million, nine hundred thirty thousand, seven hundred seventy years!

  This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 137727555857196032 cubic inches would be around 43035.4 feet tall.

Recreational maths with 137727555857196032

• 137727555857196032 backwards is 230691758555727731
• The number of decimal digits it has is: 18
• The sum of 137727555857196032's digits is 83
• More coming soon!